Least Common Multiple of 34/37, 49/80, 68/91, 35/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/37, 49/80, 68/91, 35/714 quickly i.e. 16660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/37, 49/80, 68/91, 35/714 is 16660.

LCM(34/37, 49/80, 68/91, 35/714) = 16660

LCM of 34/37, 49/80, 68/91, 35/714

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 34/37,49/80,68/91,35/714

Given numbers are 34/37,49/80,68/91,35/714

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 34,49,68,35

Least Common Multiple of Numerators i.e. LCM of 34,49,68,35 is 16660.

GCF of Denominators means GCF of 37,80,91,714 as per the given fractions.

GCF of 37,80,91,714 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,49,68,35

LCM of Fractions 34/37,49/80,68/91,35/714 is 16660

2 34, 49, 68, 35
7 17, 49, 34, 35
17 17, 7, 34, 5
1, 7, 2, 5

∴ So the LCM of the given numbers is 2 x 7 x 17 x 1 x 7 x 2 x 5 = 16660

Least Common Multiple of 34,49,68,35 with GCF Formula

Least Common Multiple of 34,49,68,35 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 34,49,68,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,49,68,35) = 1

common factors(in case of two or more numbers have common factors) = 238

GCF(34,49,68,35) x common factors =1 x 238 = 238

LCM(34,49,68,35) = ( 34 × 49 × 68 × 35 ) / 238

LCM(34,49,68,35) = 3965080 / 238

LCM(34,49,68,35) = 16660


Lets's calculate GCF of 37,80,91,714

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16660/1

Therefore the LCM of Fractions 34/37,49/80,68/91,35/714 is 16660

Greatest Common Factor of 37,80,91,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,80,91,714 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 37,80,91,714 . The biggest common factor number is the GCF number.
So the greatest common factor 37,80,91,714 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 34/37, 49/80, 68/91, 35/714

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 34/37, 49/80, 68/91, 35/714?

Answer: LCM of Numerators as per given numbers 34/37, 49/80, 68/91, 35/714 is

LCM of Numerators i.e. for 34,49,68,35 is 16660

GCF of denominators i.e. for 37,80,91,714 is 1.

Thus, LCM of Fractions is 16660.Finally, LCM of Fractions for 34/37, 49/80, 68/91, 35/714 is 16660.